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If vec(a) = 2hat(i) +2hat(j) + 3hat(k), ...

If `vec(a) = 2hat(i) +2hat(j) + 3hat(k), vec(b)= -hat(i) +2 hat(j) + hat(k) and vec(c) = 3hat(i) + hat(j)` are such that the vector `(vec(a) + lamda vec(b))` is perpendicular to vector `vec(c)`, then find the value of `lamda`

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